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Finding the Third Proportional to 42,066 and 92,883

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Solution

The third proportional to 42,066 and 92,883 is: 205,088.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,066 : 92,883 = 92,883 : x
  2. Step 2: Convert to fraction form
    42,066/92,883 = 92,883/x
  3. Step 3: Cross multiply
    42,066x = 92,883 × 92,883
  4. Step 4: Simplify right side
    42,066x = 8,627,251,689
  5. Step 5: Solve for x
    x = 8,627,251,689/42,066
  6. Step 6: Final answer
    x = 205,088.47

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.